Perform the same computation as in Sec. 24.3, but for the current as specified by i ( t ) = 5 e − 1.25 t sin 2 π t for 0 ≤ t ≤ T / 2 i ( t ) = 0 for T / 2 < t ≤ T Where T = 1 s. Use five-point Gauss quadrature to estimate the integral.
Perform the same computation as in Sec. 24.3, but for the current as specified by i ( t ) = 5 e − 1.25 t sin 2 π t for 0 ≤ t ≤ T / 2 i ( t ) = 0 for T / 2 < t ≤ T Where T = 1 s. Use five-point Gauss quadrature to estimate the integral.
Solution Summary: The author explains how to calculate the root mean-square current of the given expression by numerical method.
Perform the same computation as in Sec. 24.3, but for the current as specified by
i
(
t
)
=
5
e
−
1.25
t
sin 2
π
t
for
0
≤
t
≤
T
/
2
i
(
t
)
=
0
for
T
/
2
<
t
≤
T
Where
T
=
1
s. Use five-point Gauss quadrature to estimate the integral.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Price (S)
The graph below depicts a firm with market power. In the graph, MC represents the firm's marginal costs, ATC represents the average total costs, D represents demand, and MR represents marginal revenue.
110
70
60
50
40
30
20
MC
ATC
D
0
40
50
70
80
95
Quantity/Units
MR
a. At 60 units of output, how much would this profit-maximizing monopolist charge?
b. How many units would it produce to maximize total revenue rather than total profit?
c. What is the maximum quantity this firm can produce without incurring economic losses?
d. Calculate the firm's profit at the profit-maximizing output and price.
e. Why is this firm's marginal revenue curve below its demand curve? Explain.
Shade the areas given
1. Sketch the following sets and determine which are domains:
(a) |z−2+i| ≤ 1;
-
(c) Imz> 1;
(e) 0≤ arg z≤ л/4 (z ± 0);
Ans. (b), (c) are domains.
(b) |2z+3| > 4;
(d) Im z = 1;
-
(f) | z − 4| ≥ |z.
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